Geodesic rays, the “Lion-Man” game, and the fixed point property

Genaro López-Acedo; Adriana Nicolae; Bożena Piątek

doi:10.1016/j.jmaa.2020.123948

Geodesic rays, the “Lion-Man” game, and the fixed point property

Genaro López-Acedo
, Adriana Nicolae
, Bożena Piątek

Katedra Matematyki (RMS/RMS1)

University of Seville
Babes-Bolyai University

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

2 Cytowania z bazy Scopus

Abstrakt

This paper focuses on the relation among the existence of different types of curves (such as directional ones, quasi-geodesic or geodesic rays), the (approximate) fixed point property for nonexpansive mappings, and a discrete lion and man game. Our main result holds in the setting of CAT(0) spaces that are additionally Gromov hyperbolic.

Język oryginału	angielski
Numer artykułu	123948
Czasopismo	Journal of Mathematical Analysis and Applications
Tom	487
Numer wydania	1
Identyfikatory DOI	https://doi.org/10.1016/j.jmaa.2020.123948
Status publikacji	Opublikowano - 1 lip 2020

Obszary tematyczne ASJC Scopus

Analiza
Matematyka stosowana

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10.1016/j.jmaa.2020.123948

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Cytowanie

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abstract = "This paper focuses on the relation among the existence of different types of curves (such as directional ones, quasi-geodesic or geodesic rays), the (approximate) fixed point property for nonexpansive mappings, and a discrete lion and man game. Our main result holds in the setting of CAT(0) spaces that are additionally Gromov hyperbolic.",

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AB - This paper focuses on the relation among the existence of different types of curves (such as directional ones, quasi-geodesic or geodesic rays), the (approximate) fixed point property for nonexpansive mappings, and a discrete lion and man game. Our main result holds in the setting of CAT(0) spaces that are additionally Gromov hyperbolic.

KW - CAT(0) geometry

KW - Fixed point property

KW - Geodesic ray

KW - Gromov hyperbolicity

KW - Lion and man game

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Geodesic rays, the “Lion-Man” game, and the fixed point property

Abstrakt

Obszary tematyczne ASJC Scopus

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